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  • Draw an angle of 60 ^{o} using ruler and compasses and divide it into four equal parts. Measure each part.

Draw an angle of 60o using ruler and compasses and divide it into four equal parts. Measure each part.

Answers (1)

Steps of construction:\

  • Draw a ray OA using ruler.
  • Draw an arc with centre O and any convenient radius which cuts OA at X.
  • Draw an arc with the centre X and same radius which cuts the previous arc at U.
  • Draw a line that joins OU and produce it to any point B.
  • Now Draw an arc with centre X and radius more than half of UX. 
  • Draw an arc with the centre U and the same radius which cuts the previous arc at V.
  • Draw a line that joins OV and produce it to any point C which cuts the arc UX at W.
  • Now Draw an arc with centre X and radius more than half of WX. 
  • Draw an arc with the centre W and the same radius which cuts the previous arc at Z.
  • Draw a line that joins OZ and produce it to any point D.
  • Now Draw an arc with centre U and radius more than half of WU. 
  • Draw an arc with the centre W and the same radius which cuts the previous arc at P.
  • Draw a line that joins OP and produce it to any point E.

Now from protector we can measure angles-

\angle \mathrm{BOE}=\angle \mathrm{EOC}=\angle \mathrm{COD}=\angle \mathrm{DOA}=15^{\circ}

Posted by

Ravindra Pindel

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